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IMAS 2016 — Middle Primary Grades 3–4 — Round 1 Question 22

IMAS · IMAS 2016 — Middle Primary Grades 3–4 — Round 1

Question 22

The diagram below shows two overlapping rectangles consisting of region I, region II and the shaded region. The area of the rectangle $ ABCD $ is 6 times the area of the shaded region. The total area of the regions I and II is 9 times the area of the shaded region. The region II has area $ 12 \, cm^2 $. What is the area, in $ cm^2 $, of the shaded region?

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